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Finding the Fourth Proportional to 1,519.10, 2,282.93 and 902.92

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Solution

The fourth proportional to 1,519.10, 2,282.93 and 902.92 is: 1,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.10 : 2,282.93 = 902.92 : x
  2. Step 2: Convert to fraction form
    1,519.10/2,282.93 = 902.92/x
  3. Step 3: Cross multiply
    1,519.10x = 2,282.93 × 902.92
  4. Step 4: Simplify right side
    1,519.10x = 2,061,296.32
  5. Step 5: Solve for x
    x = 2,061,296.32/1,519.10
  6. Step 6: Final answer
    x = 1,356.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.